The convergence of inversive distance circle packings to the Riemann mapping
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866909706985930752 |
|---|---|
| author | Chen, Yuxiang Luo, Yanwen Xu, Xu |
| author_facet | Chen, Yuxiang Luo, Yanwen Xu, Xu |
| contents | Bowers and Stephenson introduced the notion of inversive distance circle packings as a natural generalization of Thurston's circle packings. They further conjectured that discrete conformal maps induced by inversive distance circle packings converge to the Riemann mapping. In this paper, we prove Bowers-Stephenson's conjecture for Jordan domains by establishing a solvability theorem of certain prescribing combinatorial curvature problems for inversive distance circle packings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_08145 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The convergence of inversive distance circle packings to the Riemann mapping Chen, Yuxiang Luo, Yanwen Xu, Xu Differential Geometry Bowers and Stephenson introduced the notion of inversive distance circle packings as a natural generalization of Thurston's circle packings. They further conjectured that discrete conformal maps induced by inversive distance circle packings converge to the Riemann mapping. In this paper, we prove Bowers-Stephenson's conjecture for Jordan domains by establishing a solvability theorem of certain prescribing combinatorial curvature problems for inversive distance circle packings. |
| title | The convergence of inversive distance circle packings to the Riemann mapping |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2204.08145 |